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Finding the Third Proportional to 38,598 and 57,993

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Solution

The third proportional to 38,598 and 57,993 is: 87,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,598 : 57,993 = 57,993 : x
  2. Step 2: Convert to fraction form
    38,598/57,993 = 57,993/x
  3. Step 3: Cross multiply
    38,598x = 57,993 × 57,993
  4. Step 4: Simplify right side
    38,598x = 3,363,188,049
  5. Step 5: Solve for x
    x = 3,363,188,049/38,598
  6. Step 6: Final answer
    x = 87,133.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.